Volume InformationSource: Proceedings of the Royal Society of London. Series A, Containing Papers of aMathematical and Physical Character, Vol. 95, No. 665 (Sep. 2, 1918), pp. i-viPublished by: The Royal SocietyStable URL: http://www.jstor.org/stable/93644 .
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PROCEE DING S
OF THE
ROYAL SOCIETY OF LONDON SERIES A
CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER.
VOL. XCV.
LONDON:
PRINTED FOP. THE ROYAL SOCIETY AND SOLD BY
HARRISON AND SONS, ST. MARTIN'S LANE, PRINTER$ IN ORDINARY TO HIS MAJESTY.
JULY, 1919.
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LONDON
HARRISON ANI) SONS, PRINTERS IN ORDINARY TO HIS MAJESTY,
ST. MARTIN'S LANE.
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CONTr E N T S.
SERIES A. VOL. XCIV.
No. A 665.-September 2, 1918. PAGE
Curved Beaus. By James J. Guest, University College, London. Communicated by Prof. W. E. Dalby, F.R.S ......................................... 1
On the Cesi"ro Convergence of Restricted Fourier Series. By W. H. Young, F.R.S. 22
On the Electrical Resolution and Broadening of Helium Lines. By Thomas R. Merton, D.Sc., Lecturer in Spectroscopy at the University of London, King's College. Communicated by Prof. A. Fowler, F.R.S ..................................... .30
Periodic Irrotational Waves of Finite Height. By T. H. Havelock, F.R.S. 38
Experiments oni the Effect of the Vibration of a Stretched Wire forming Part of a Closed Electric Circuit. By Adiniral Sir Henry Jackson, G.C.-B., F.R.S .51
The Diamagnetisnm of Hydrogen anld the Value of the Magneton. By Major A. E. Oxley, R.F.C., M.A., D.Sc. Communicated by Prof. J. W. Nicholson, F.R.S.' 58
No. A 666.-October 7, 1918.
An Outline of a Theory of Magnetic Stormns. By S. Chapman, M.A., D.Sc., Fellow and Lecturer of Trinity College, Cambridge, and Chief Assistant at the Royal Observatory, Greenwich. Communicated by Sir F. W. Dyson, F.R.S., Astronomer Royal .61
The Diffraction of Electric 'Waves by the Earth. By G. N. Watson, Sc.D., D.Sc., Assistant Professor of Pure Mathematics at University College, London. Communicated by Prof. J. W. Nicholson, F.R.S. 83
Note on the Effect of Wind Pressure on the Pitch of Organ Pipes. By A. Mallock, F.R.S .99
The Periods of Lateral Vibration of Loaded Shafts.-The Rational Derivation of Dunkerley's Empirical Rule for Determining Whirling Speeds. By H. H. Jeffcott, B.A., B.A.I., Professor of Engineering, Roval College of Science for Ireland. Commtunicated by Prof. W. McF. Orr, F.R.S . ............... 106
On the Spectrum of Cadnmium in the Inactive Gases. By J. N. Collie, F.R.S., and H. E. Watson, DS.. 115
Further Experiments on Spontaneous Generationi of Heat in Recently Hardened Steel. By Charles F. Brtush, Sir Robert A. Hadfield, Bt., F.R.S., and S. A. Main, B.Sc ..................................................................... 120
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iv
PAGE No. A 667.-Novemnber 7, 1918.
Sounds Produced by Drops Falling on Water. By A. Mallock, F.R.S. (Plate 1)... 138
On the Coefficients in the Exppansions of Certaini Modular Functions. By G. H. Hardy, F.R.S., and S. Ramanujan, F.R.S. ................. ............................... 144
The Light Scattered by Gases: its Polarisation and Intensity. By the Hon. R. J. Strutt, F.R.S., Professor of Physics, Imperial College, South Kensington. (IPlate 2) ............................................. 155
No. A 668.-January 1, 1919.
On Haidinger's Rings in Mica. By T. K. Chinmayanandam, M.A. (Hons.). Com- municated by Dr. Gilbert T. Walker, C.S.I., D.Sc., F.R.S. ................... ........ 176
The Thermal Conductivity of A.ir. By E. 0. Hercus, M.Sc., New Zealand Government Research Scholar, and T. H. Laby, Mf.A., Professor of Natural Philosophy, University of Melbourne. Comimunicated by Sir Joseph Larmor, F.R.S .. 190
Electric Potential Gradient and Atnmosplheric Opacity at Kew Observatory. By C. Chree, Sc.D., LL.D., F.R.S ....... ........................................................ 210
On the Nature of Sun-Spots. By George E. Hale, For. Mem. R.S. (Abstract) . 234
On Non-harmlonic Trigonometrical Series. By Prof. W. H. Young, Sc.D)., F.R.S .... 237
No. A 669.-February 1, 1919.
Address of the President, Sir J. J. Thomson, O.M., at the Anniversary Meeting, November 30, 1918 . .................................................................... 250
An Investigation of Extreme Ultra-violet Spectra, with a Vacuum-grating Spectro- graph. By J. C. McLennan, F.R.S., and Mr. R. J. Lang, M.A., University of Toronto. (Plate 3) . .................................................................... 258
On the Absorption Spectra anid the lonisation Potentials of Calcium, Strontiumn, and Barium. By J. C. McLennan, F.R.S., and J. F. T. Young, M.A., IJniversity of Toronto. (Plates 4-6) ........................ ............................. 273
Emission and Absorption in the Infra-red Spectra of Mercury, Zinc, and Cadmlium. By Raymond C. Dearle, M.A., University of Torointo. Communicated by Prof. J. C. MeLennan, F.R.S ........................ 280
On the Value of the Secular Acceleration of the Meani Longitude of the Moon. By E. Nevill, F.R.S ........................ 300
A Study of the Forms assumed by Drops and Vortices of a GelatinisiDg Liquid in Various Coagulating Solutionis. By Emil Hatschek. Communicated by Prof. D'Arcy Thompson, F.R.S ........................ 303
No. A 670.-March 15, 1919.
Vacuium Arc Spectra of various Elements in the Extreme Ultra-violet. By Prof. J. C. McLennan, F.R.S. ; D. S. Ainslie, M.A.; and D. S. Fuller, M.A., University of Toronto. (Plates 7-10) ............................. 316
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V
PAGE
An Investigation of the lonising Power of the Positive Ions fromn a Glowing Tantalum Filament in Helium. By Frank Horton, Sc.D., Professor of Physics in the University of London, and Ann Catherine Davies, M.Sc., Royal Holloway College, Englefield Green. Communicated by Mr. C. T. R. Wilson, F.R.S .................................................................... 333
Wave Resistailce: Some Cases of Three-dimensional Fluid Motion. By T. H. Havelock, F.R.S. ........... 354
Experiments Demonstrating an Electrical Effect in Vibrating Metals. By Admiral Sir H. B. Jackson, G.C.B., F.R.S., and G. B. Bryan, D.Sc . ............... 366
No. A 671.-April 1, 1919. Chances of Loss of Merchant Ships. By W. S. Abell, Chief Ship Surveyor,
Lloyd's Register of Shipping Communicated by Prof. W. Burnside, F.R.S. ... 38 3
Contribution to the Theory of Attraction when the Force Varies as any Power of the Distance. By Major P. A. MacMahon, F.R.S., and H. B. C. Darling ...... 390
On the Cause of Hierarchical Order among the Correlation Coefficients of a Number of Var iates Taken in Pairs. By Godfrey H. Thomson, D.Sc., Armstrong College, in the University of Durham. Communicated by Prof. T. H. Havelock, F.R.S ..................................................................... 400
An Experimental Determnination of the Jonisation Potential for Electrons in Helium. , By Frank Horton, Sc.D., Professor of Physics in the University of London, and Ann Catherine Davies, M.Sc., Royal Holloway College, Englefield Green. Communicated by Mr. C. T. R. Wilson, F.R.S. ......... ..................... 408
Note on the Elasticity of Metals as Affected by Temperature. By A. Mallock, F.R.S ..................................................................... 429
No. A 672.-June 4, 1919.
On the Arc Spectrum of Scandium. By Sir William Crookes, O.M., D.Sc., F.R.S. (Plate 11) ................................................................. 438
Vibration and Srength of Struts and Continuous Beamns under End Thrusts. By W. L. Cowley, A.R.C.Sc., D.I.C., and H. Levy, M.A., B.Sc., F.R.S E. Com- municated by Sir R. Glazebrook, F.R.S .1................................................... 440
Two-dimensional Solutions of Poisson's and Laplace's Equationls. Part I.-By Leonard Bairstow, F.R.S., C.B.E. Part II.-By Arthur Berry, M.A., Fellow of King's College, Cambridge ................................................................. 457
Scattering of Light by Solid Substances. By the Hon. R. J. Strutt, F.R.S., Imperial College, South Kensington. (Plate 12) ............. .......................... 476
A New Method of Weighing Colloidal Particles. By E. F. Burton, Ph.D., Associate Professor of Physics, University of Toronto. Communicated by Prof. J. C. McLennan, F.R.S ................................................................. 480
The Constitution of Sulphur Vapour. By Sir James J. Dobbie, F.R.S., and J. J. Fox, M.B.E., D.Sc. (Plates 13 and 14) ................ ............................. 484
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PAGE
No. A 673.-July 15, 1919.
An Apparatus for the Direct Determination of Accelerations. By the late Prince B. Galitzin, For.Mem.R.S ................................................................... 49
On the Explosion at Okhta. By the late Prince B. Galitzin, For.Mem.R.S. ......... 508
The Two-Dimensional Motion of a Plane Lamnina in a Resisting Medium. By S. Brodetsky, M.A., Ph.D. Comml-uniicated by Prof. G. H. Bryan, F.R.PS. ...... 5163
A New Method for the AbsoluLte Determiination of Frequen(cy. By Ashutosh Dey, with a Prefatory Note and an Appendix by C. V. Raman, M.A., Palit Professor of Physics in the Calcutta University. Communicated bv Dr. Gilbert T. Walker, C.S.I., Sc.D., F.R S . ................................................ 533'
The Transmission of Electric Waves riound the Earth. By G. N. Watson, Sc.D., D.Sc., Professor of Mathematics in the University of Birmingham. Com- municated by Prof. J. W. Nicholson, F.R.S . .............................................. 540
OBITUAERY NOTICES OF FELLOWS DECEASED.
Keith Lucas (with portrait); Hugo Muller (with portrait); Bertram Hopkinsoin (with portrait) ............. i-xxxvn
Index ............. xxxvii
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